Search a number
-
+
14137848 = 2333293761
BaseRepresentation
bin110101111011…
…100111111000
3222121021111000
4311323213320
512104402343
61223005000
7231112134
oct65734770
928537430
1014137848
117a86a7a
124899760
132c100ba
141c403c4
151393ed3
hexd7b9f8

14137848 has 128 divisors (see below), whose sum is σ = 42408000. Its totient is φ = 4354560.

The previous prime is 14137817. The next prime is 14137853. The reversal of 14137848 is 84873141.

It is a super-2 number, since 2×141378482 = 399757492142208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231738 + ... + 231798.

Almost surely, 214137848 is an apocalyptic number.

14137848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14137848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21204000).

14137848 is an abundant number, since it is smaller than the sum of its proper divisors (28270152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14137848 is a wasteful number, since it uses less digits than its factorization.

14137848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 132 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 14137848 is about 3760.0329785788. The cubic root of 14137848 is about 241.8026759305.

It can be divided in two parts, 1413 and 7848, that added together give a cube (9261 = 213).

The spelling of 14137848 in words is "fourteen million, one hundred thirty-seven thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 37 54 58 61 72 74 87 108 111 116 122 148 174 183 216 222 232 244 261 296 333 348 366 444 488 522 549 666 696 732 783 888 999 1044 1073 1098 1332 1464 1566 1647 1769 1998 2088 2146 2196 2257 2664 3132 3219 3294 3538 3996 4292 4392 4514 5307 6264 6438 6588 6771 7076 7992 8584 9028 9657 10614 12876 13176 13542 14152 15921 18056 19314 20313 21228 25752 27084 28971 31842 38628 40626 42456 47763 54168 57942 60939 63684 65453 77256 81252 95526 115884 121878 127368 130906 162504 191052 196359 231768 243756 261812 382104 392718 487512 523624 589077 785436 1178154 1570872 1767231 2356308 3534462 4712616 7068924 14137848